105505113111 has 8 divisors (see below), whose sum is σ = 140836492800. Its totient is φ = 70255237752.

The previous prime is 105505113089. The next prime is 105505113143. The reversal of 105505113111 is 111311505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105505113111 - 2⁵ = 105505113079 is a prime.

It is a super-2 number, since 2×105505113111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505113151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20373061 + ... + 20378238.

It is an arithmetic number, because the mean of its divisors is an integer number (17604561600).

Almost surely, 2^105505113111 is an apocalyptic number.

105505113111 is a deficient number, since it is larger than the sum of its proper divisors (35331379689).

105505113111 is an equidigital number, since it uses as much as digits as its factorization.

105505113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40752165.

The product of its (nonzero) digits is 375, while the sum is 24.

Adding to 105505113111 its reverse (111311505501), we get a palindrome (216816618612).

The spelling of 105505113111 in words is "one hundred five billion, five hundred five million, one hundred thirteen thousand, one hundred eleven".